Density of proper delay times in chaotic and integrable quantum billiards
Mesoscale and Nanoscale Physics
2016-08-31 v1
Abstract
We calculate the density P(\tau) of the eigenvalues of the Wigner-Smith time delay matrix for two-dimensional rectangular and circular billiards with one opening. For long times, the density of these so-called "proper delay times" decays algebraically, in contradistinction to chaotic quantum billiards for which P(\tau) exhibits a long-time cut-off.
Keywords
Cite
@article{arxiv.cond-mat/0109344,
title = {Density of proper delay times in chaotic and integrable quantum billiards},
author = {M. G. A. Crawford and P. W. Brouwer},
journal= {arXiv preprint arXiv:cond-mat/0109344},
year = {2016}
}
Comments
3 pages, 2 figures, submitted to Phys. Rev. E